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ss7ja [257]
3 years ago
11

A cylindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that is

3 times the volume of the smaller tank. What is the best approximation for the diameter of the larger tank?
Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

Radius of large cylinder = 10.39 feet\\

Step-by-step explanation:

Volume of the larger tank is three times the volume of smaller tank

Volume of smaller tank

= \pi r^{2} h\\= (3.14) * 6^{2} * 20\\= 2260.8 ft^{3} \\

Volume of larger tank

= 3 * 2260.8 ft^3\\= 6782.4 ft^3\\

Or it can also be written as

\pi r^{2} h = 6782.4 ft^3\\(3.14) * ( r^2) 20 = 6782.4 ft^3\\r^2 = 108\\r = 10.39

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larisa86 [58]

Based on the mean, standard deviation, and the graph, the indicated IQ score would be 115.

<h3>What is the indicated IQ score?</h3>

First, find the z value:

P(Z<z) = 1 - tail value

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= 0.8413

According to the z-value, this gives a value of:

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The indicated IQ score is:

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1 year ago
What is the domain
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Need an answer thanks in advance​!
slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

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24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

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Add like terms to get 5x - 20 = 180
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